Thus according to the McDiarmid inequality [1]}, with probability at least \(1-\delta \)  for any \(f\in \mathcal {F}\) , we have
\(\mathcal {L}(f) \le \widehat{\mathcal {L}}_{n}(f) + \frac{2\mu _{n}^{-1}}{\sqrt{n}}+(2+2k^{\prime })\log \mu _{n}^{-1} \sqrt{\frac{\log \delta ^{-1}}{2 n}}.\) 
